164920 has 64 divisors (see below), whose sum is σ = 460800. Its totient is φ = 51840.

The previous prime is 164911. The next prime is 164953. The reversal of 164920 is 29461.

It is a junction number, because it is equal to n+sod(n) for n = 164891 and 164900.

It is a congruent number.

It is an unprimeable number.

164920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5305 + ... + 5335.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹⁶⁴⁹²⁰ is an apocalyptic number.

164920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

164920 is an abundant number, since it is smaller than the sum of its proper divisors (295880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164920 is a wasteful number, since it uses less digits than its factorization.

164920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 164920 is about 406.1034351000. The cubic root of 164920 is about 54.8391997575.

The spelling of 164920 in words is "one hundred sixty-four thousand, nine hundred twenty".